Learn more about the hex calculator!

Hex calculator Feb 15, 2023 701 Add to Reading List

Welcome to Allcalculator.net, your one-stop destination for all your calculating needs. Discover the fascinating world of the Hex calculator, a powerful tool that enables you to perform calculations using the hexadecimal numbering system. Whether you're a student, a programmer, or simply curious about hex calculations, Allcalculator.net is here to provide you with comprehensive information and resources to enhance your understanding. With our user-friendly interface and accurate results, navigating the hex calculator has never been easier. Explore the endless possibilities and unlock the potential of hexadecimal calculations with Allcalculator.net.

What are the hex arithmetic operations?

Addition
Subtraction
Multiplication
Division

Addition

Hex calculator Addition in hexadecimal is similar to decimal addition. The result is an addition of digits that exceeds the maximum permissive values. You can carry the excess amount divided by the radix (16) to the digit on the left. Finally, it can be added to the next place value. allcalculator.net

Example:

8AC16 + B7E16
1 1
8 A C
+ B 7 E
1 4 2 A
C16 + E16 = 1A16 1 will carry forward to the next column
I16 + A16 + 716 = 1216 1 will be carried forward to the next column
I16 + 816 + B16 = 1416

Subtraction

Subtraction of hexadecimal is most similar to addition instead of carrying the numbers borrowed from the left column
8AC16 + B7E16
A 16
B A 3
- 8 B 3
2 F 0
316 - 316 = 0
A16 - B16 = F16.
A is smaller than B, so borrowing is required. You can subtract 1 from the significant digit and add a decimal 16 to the borrowed digit. In this you have borrowed B16 so it become B16 - 816 = 216

Multiplication

Hex multiplication is a process which is slightly tricky because the conversions between hex and decimal tend to be larger.
C B
x A 2
1 9 6
+ 7 E E x
8 0 7 6

The steps for multiplication are:

2 x B (11 in decimal) = 22 that is 16 in hex
2 x C (12 in decimal) = 24 that is 18 in hex
A(10 in decimal) x B(11 in decimal) = 110 that is 6E in hex
A(10 in decimal) x C(11 in decimal) = 120 that is 7E in hex

Division

Division in hex is division in decimal. You need to convert hex to decimal and perform long division in decimal. Finally, convert back once complete.

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What is the conversion made from other numeral systems?

Some of the conversions are

Hexadecimal to decimal – which is the inverse of the decimal to the hexadecimal conversion process

Example:

Converting 15A from Base 16 to Decimal
1 * 162 + 5 * 161 + A (10) * 160 = 346 in Decimal
Hexadecimal to Binary – it is by converting hexadecimal to decimal and then converting the decimal number to binary